9407 has 4 divisors (see below), whose sum is σ = 9840. Its totient is φ = 8976.

The previous prime is 9403. The next prime is 9413. The reversal of 9407 is 7049.

9407 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 9407 - 2² = 9403 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8, base 14 and base 16.

It is a zygodrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9407.

It is not an unprimeable number, because it can be changed into a prime (9403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (2460).

2⁹⁴⁰⁷ is an apocalyptic number.

9407 is a deficient number, since it is larger than the sum of its proper divisors (433).

9407 is a wasteful number, since it uses less digits than its factorization.

9407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 9407 is about 96.9896901737. The cubic root of 9407 is about 21.1097803614.

It can be divided in two parts, 9 and 407, that multiplied together give a palindrome (3663).

The spelling of 9407 in words is "nine thousand, four hundred seven".